Dynamical biostatistical models

Content: Introduction  General presentation of the book  Organization of the book  Notation  Presentation of examples         Classical Biostatistical Models  Inference  Generalities on inference: the concept of model  Likelihood and applications  Other types of likelihoods and estimation methods  Model choice  Optimization algorithms         Survival Analysis  Introduction  Event, origin, and functions of interest  Observation patterns: censoring and truncation  Estimation of the survival function  The proportional hazards model  Accelerated failure time model  Counting processes approach  Additive hazards models  Degradation models         Models for Longitudinal Data  Linear mixed models  Generalized mixed linear models  Non-linear mixed models  Marginal models and generalized estimating equations (GEE)  Incomplete longitudinal data  Modeling strategies         Advanced Biostatistical Models  Extensions of Mixed Models  Mixed models for curvilinear outcomes  Mixed models for multivariate longitudinal data  Latent class mixed models         Advanced Survival Models  Relative survival  Competing risks models  Frailty models  Extension of frailty models  Cure models         Multistate Models  Introduction  Multistate processes  Multistate models: generalities  Observation schemes  Statistical inference for multistate models observed in continuous time  Inference for multistate models from interval-censored data  Complex functions of parameters: individualized hazards, sojourn times  Approach by counting processes  Other approaches         Joint Models for Longitudinal and Time-to-Event Data  Introduction  Models with shared random effects  Latent class joint model  Latent classes versus shared random effects  The joint model as prognostic model  Extension of joint models         The Dynamic Approach to Causality  Introduction  Local independence, direct and indirect influence  Causal influences  The dynamic approach to causal reasoning in ageing studies  Mechanistic models  The issue of dynamic treatment regimes         Appendix: Software     Index